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A stable/unstable manifold theorem for local homeomorphisms of the plane

Published online by Cambridge University Press:  22 December 2004

FRANCISCO R. RUIZ DEL PORTAL  and
JOSÉ M. SALAZAR
FRANCISCO R. RUIZ DEL PORTAL
Affiliation:
Departamento de Geometría y Topología, Facultad de CC. Matemáticas, Universidad Complutense de Madrid, Madrid 28040, Spain (e-mail: r_portal@mat.ucm.es)
JOSÉ M. SALAZAR
Affiliation:
Departamento de Matemáticas, Universidad de Alcalá, Alcalá de Henares, Madrid 28871, Spain (e-mail: josem.salazar@uah.es)
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Abstract

We use a notion (introduced in Topology41 (2002), 1119–1212), which is stronger than the concept of filtration pair, to prove a stable/unstable manifold general theorem for local homeomorphisms of the plane in a neighborhood of an isolated fixed point.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 25 , Issue 1 , February 2005 , pp. 301 - 317
Copyright
2004 Cambridge University Press

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